Sum of Consecutive Squares Calculator
This calculator quickly finds the sum of squares of the first n natural numbers using a well-known mathematical formula. It’s ideal for students, teachers, and professionals who need to perform quick calculations in algebra, programming, or physics. Just enter any positive integer n to get the result instantly.
Sum of Consecutive Squares Calculator
Sum of Consecutive Squares Formula
$$1^2 + 2^2 + 3^2 + \dots + n^2 = \frac{n(n + 1)(2n + 1)}{6}$$
The sum of consecutive squares formula is widely used in algebra and analysis. It helps compute the sum of squares of the first n positive integers without having to add them manually. This is useful in areas such as statistical calculations (like variance), algorithm optimization, and educational purposes. Simply plug in the value of n to get the total.
For example, for $$n = 5$$:
- $$1² + 2² + 3² + 4² + 5² = 55$$